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63745668 = 22327236137
BaseRepresentation
bin1111001100101…
…0111010000100
311102221121121200
43303022322010
5112304330133
610154142500
71402554300
oct363127204
9142847550
1063745668
1132a8a078
1219421a30
131028bb3c
148674d00
1558e2913
hex3ccae84

63745668 has 54 divisors (see below), whose sum is σ = 187447806. Its totient is φ = 18212544.

The previous prime is 63745667. The next prime is 63745681. The reversal of 63745668 is 86654736.

63745668 is a `hidden beast` number, since 637 + 4 + 5 + 6 + 6 + 8 = 666.

63745668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 56520324 + 7225344 = 7518^2 + 2688^2 .

It is not an unprimeable number, because it can be changed into a prime (63745663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16305 + ... + 19832.

Almost surely, 263745668 is an apocalyptic number.

It is an amenable number.

63745668 is an abundant number, since it is smaller than the sum of its proper divisors (123702138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63745668 is a wasteful number, since it uses less digits than its factorization.

63745668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36161 (or 36149 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 63745668 is about 7984.0884263640. The cubic root of 63745668 is about 399.4694382384.

The spelling of 63745668 in words is "sixty-three million, seven hundred forty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 36137 72274 108411 144548 216822 252959 325233 433644 505918 650466 758877 1011836 1300932 1517754 1770713 2276631 3035508 3541426 4553262 5312139 7082852 9106524 10624278 15936417 21248556 31872834 63745668